Nuclear Physics And Radioactivity Question 493
Question: A sample contains 16 gm of a radioactive material, the half-life of which is two days. After 32 days, the amount of radioactive material left in the sample is
Options:
A) Less than 1 mg
B) $ \frac{1}{4}gm $
C) $ \frac{1}{2}gm $
D) 1 gm
Show Answer
Answer:
Correct Answer: A
Solution:
[a] Remaining amount $ =16\times {{( \frac{1}{2} )}^{32/2}}=16\times {{( \frac{1}{2} )}^{16}}={{( \frac{1}{2} )}^{12}}<1\ mg $